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Goshia [24]
2 years ago
8

Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total

Mathematics
1 answer:
Sati [7]2 years ago
5 0

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

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B is the answer

Step-by-step explanation:

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Answer:

Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.

Step-by-step explanation:

Difference between hypergeometric and binomial distributions:

In the hypergeometric distribution, trials are dependent of other trials, while in the binomial distribution, they are independent. This can be examplified that in the hypergeometric distribution, the candidates are chosen from a set without replacement, while in the binomial distribution they are chosen with replacement.

In this question:

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6 0
3 years ago
Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum
lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\

\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\  (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\

=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3}  \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\

4 0
2 years ago
Consider firing a pumpkin from a canon at a target that is 17 meters away. The pumpkin follows a quadratic path as displayed to
bixtya [17]
A.
(0,00
(2.6,7.9)
(4.8,12.4)
(9.7,15.1)

b.
well, the points don't look like they are on the line but they actually are (plot twist)


so
since (0,0) is on th egarph

0=a(0)²+b(0)+c
0=c
so
f(x)=ax²+bx+0 or
f(x)=ax²+bx

find a and b
sub points

(2.6,7.9)
7.9=a(2.6)²+b(2.6)
7.9=6.76a+2.6b

(4.8,12.4)
12.4=a(4.8)²+b(4.8)
12.4=23.04a+4.8b

use those 2 equations
7.9=6.76a+2.6b
12.4=23.04a+4.8b

eliminate b
multiply first equation by -4.8 and 2nd by 2.6 and add them
-37.92=-32.448a-12.48b
32.24=59.904a-12.48b +
-5.68=27.456a+0b

-5.68=27.456a
divide both sides by 27.456
(-5.68/27.456)=a
find b

12.4=23.04a+4.8b
12.4=(-130.8672/27.456)+4.8b
12.4+(130.8672/27.456)=4.8b
(12.4+(130.8672/27.456))/4.8=b

da equation is
y= \frac{-5.68}{27.456} x^2+ \frac{12.4+\frac{130.8672}{27.456}}{4.8}x



c. the roots are found with your calculator
the roots are at x=0 and x=17.287323943662
so very close to the target but not exactly on it
if the target has a radius of 0.287323943662 or more then it will hit the target
5 0
3 years ago
Translate the following sentences into a equation, then solve the equation.
Rainbow [258]

Answer:

Step-by-step explanation:

Let the two numbers be x and y

x = y - 5......(1)

2y = 3x.......(2)

Putting (1) into (2)

2y = 3(y - 5)

2y = 3y - 15

Collecting like terms

2y - 3y = -15

-y = -15

y = 15

Putting y = 15 in (1)

x = y - 5

x = 15 - 5

x = 60

6 0
3 years ago
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